Jc. Wang et Jr. Booker, A Fourier-Laplace transform finite element method (FLTFEM) for the analysis of contaminant transport in porous media, INT J NUM A, 23(14), 1999, pp. 1763-1796
Citations number
23
Categorie Soggetti
Geological Petroleum & Minig Engineering
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
In many practical situations, a simplified two-dimensional model is often s
ufficiently accurate for practical purposes, however on some occasions it i
s still necessary to consider the full three-dimensional situation. Convent
ional numerical techniques such as the finite difference and finite element
methods are able to deal with contaminant transport under 3D conditions, h
owever the computational effort involved in using them is often very large.
Under some circumstances it is possible to perform 3D analyses more effici
ently. A particular case is when the geometry is 2D but the problem is actu
ally 3D. In such cases the analysis can be simplified by application of a F
ourier transform.
In this paper, the dimensions of the contaminant transport problem will be
reduced by one and the transient mass transport equation will be transforme
d into a time-independent mass transport equation through the use of a comb
ination of integral transforms (Laplace and Fourier transforms) and a finit
e element technique. The mathematical model developed here is called Fourie
r-Laplace transform finite element method (FLTFEM). By using the FLTFEM a t
hree-dimensional transient problem can be analysed as a two-dimensional tim
e-independent problem and the computational cost will thus greatly be reduc
ed. Copyright (C) 1999 John Wiley & Sons, Ltd.